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Simplifying 2[5(p + -5) + 18] + -1[3(5p + -2) + 4] = 0 Reorder the terms: 2[5(-5 + p) + 18] + -1[3(5p + -2) + 4] = 0 2[(-5 * 5 + p * 5) + 18] + -1[3(5p + -2) + 4] = 0 2[(-25 + 5p) + 18] + -1[3(5p + -2) + 4] = 0 Reorder the terms: 2[-25 + 18 + 5p] + -1[3(5p + -2) + 4] = 0 Combine like terms: -25 + 18 = -7 2[-7 + 5p] + -1[3(5p + -2) + 4] = 0 [-7 * 2 + 5p * 2] + -1[3(5p + -2) + 4] = 0 [-14 + 10p] + -1[3(5p + -2) + 4] = 0 Reorder the terms: -14 + 10p + -1[3(-2 + 5p) + 4] = 0 -14 + 10p + -1[(-2 * 3 + 5p * 3) + 4] = 0 -14 + 10p + -1[(-6 + 15p) + 4] = 0 Reorder the terms: -14 + 10p + -1[-6 + 4 + 15p] = 0 Combine like terms: -6 + 4 = -2 -14 + 10p + -1[-2 + 15p] = 0 -14 + 10p + [-2 * -1 + 15p * -1] = 0 -14 + 10p + [2 + -15p] = 0 Reorder the terms: -14 + 2 + 10p + -15p = 0 Combine like terms: -14 + 2 = -12 -12 + 10p + -15p = 0 Combine like terms: 10p + -15p = -5p -12 + -5p = 0 Solving -12 + -5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5p = 0 + 12 -5p = 0 + 12 Combine like terms: 0 + 12 = 12 -5p = 12 Divide each side by '-5'. p = -2.4 Simplifying p = -2.4
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